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Finding the Third Proportional to 20,290,808.25 and 31,431,433.50

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Solution

The third proportional to 20,290,808.25 and 31,431,433.50 is: 48,688,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290,808.25 : 31,431,433.50 = 31,431,433.50 : x
  2. Step 2: Convert to fraction form
    20,290,808.25/31,431,433.50 = 31,431,433.50/x
  3. Step 3: Cross multiply
    20,290,808.25x = 31,431,433.50 × 31,431,433.50
  4. Step 4: Simplify right side
    20,290,808.25x = 987,935,011,864,922.25
  5. Step 5: Solve for x
    x = 987,935,011,864,922.25/20,290,808.25
  6. Step 6: Final answer
    x = 48,688,795.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.